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Komok [63]
3 years ago
15

A line segment beginning at point A(−7,−10) and ending at point B(5,8) is drawn on a coordinate plane. Point C(−3,−4) is plotted

on AB⎯⎯⎯⎯⎯⎯⎯ . Point C divides AB⎯⎯⎯⎯⎯⎯⎯ into a ratio of : . (Express the ratio in simplest integer form.)
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

The total x-distance from A to B is 5 - (-7) = 12.

The x-distance from C to A is -3 -(-7) = 4.

Then the x-distance from C to B is 12 - 4 = 8.

The ratio AC : CB is 4 : 8. These ratio values have a common factor of 4, so we can divide by that to get the simplest integer form:

... AC : CB = 1 : 2 . . . . . the ratio into which point C divides the line segment.

_____

If you perform the same math on y-coordinates, you should get the same answer. If you don't, it means that point C is not on the line AB.

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bill is replacing his 15ft long by 12 ft wide deck. his new deck will add 5 feet to the length and 4 feet to the width. if a dra
Ira Lisetskai [31]

The dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.

Given that the length of the previous deck = 15 feet

The width of the previous deck = 12 feet

Since the new deck will add 5 feet to the length and 4 feet to the width,

The length of the new deck = 15 + 5 = 20 feet

The width of the new deck = 12 + 4 = 16 feet

Also given that a drawing of the new deck uses a scale of 1 inch = 2.5 feet.

So, The length of the deck in the drawing = 20/2.5 inches = 8 inches

The width of the deck in the drawing = 16/2.5 inches = 6.4 inches

Therefore, the dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.

Learn more about length here -

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7 0
2 years ago
Y = 1/5x+3 explain plz
IceJOKER [234]

Answer:

alright all you need to do is Use the slope-intercept form to find the slope and y-intercept

So the Answer to the question is

Slope: 1/5

Y-Intercept: 3 Hope this helps :)

Step-by-step explanation:


8 0
4 years ago
A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discou
IRINA_888 [86]
0.8109x is the answer...
3 0
4 years ago
-2(3x+9)=-54<br><br> AND 2(3x+4) -3x=35 <br><br> SHOW WORK PLEASE
Naily [24]

Answer:

1. x=6

2. x=9

Step-by-step explanation:

1.

-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\\frac{-6x}{-6} = \frac{-36}{-6}\\x=6

2.

2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\\frac{3x}{3} =\frac{27}{3} \\x=9

<u>Written Explanation: </u>

1.

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2.

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9

5 0
4 years ago
Joyce paid $220 for an item at the store that was 30 percent of the original price. What was the original price?
GaryK [48]

Answer:

if 220=30%

100%=?

220×100÷30

=$733.333

4 0
3 years ago
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